Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 464, 962, 96, 467 i.e. 1 largest integer that divides all the numbers equally.
GCD of 464, 962, 96, 467 is 1
GCD(464, 962, 96, 467) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 464, 962, 96, 467 is 1
GCD(464, 962, 96, 467) = 1
Given Input numbers are 464, 962, 96, 467
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 464
List of positive integer divisors of 464 that divides 464 without a remainder.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Divisors of 962
List of positive integer divisors of 962 that divides 962 without a remainder.
1, 2, 13, 26, 37, 74, 481, 962
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 467
List of positive integer divisors of 467 that divides 467 without a remainder.
1, 467
Greatest Common Divisior
We found the divisors of 464, 962, 96, 467 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 464, 962, 96, 467 is 1.
Therefore, GCD of numbers 464, 962, 96, 467 is 1
Given Input Data is 464, 962, 96, 467
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29
Prime Factorization of 962 is 2 x 13 x 37
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 467 is 467
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(464, 962) = 223184
GCD(464, 962) = ( 464 x 962 ) / 223184
GCD(464, 962) = 446368 / 223184
GCD(464, 962) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 96) = 96
GCD(2, 96) = ( 2 x 96 ) / 96
GCD(2, 96) = 192 / 96
GCD(2, 96) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 467
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 467) = 934
GCD(2, 467) = ( 2 x 467 ) / 934
GCD(2, 467) = 934 / 934
GCD(2, 467) = 1
GCD of 464, 962, 96, 467 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 464, 962, 96, 467?
GCD of 464, 962, 96, 467 is 1
2. Where do I get the detailed procedure to find GCD of 464, 962, 96, 467?
You can find a detailed procedure to find GCD of 464, 962, 96, 467 on our page.
3. How to find GCD of 464, 962, 96, 467 on a calculator?
You can find the GCD of 464, 962, 96, 467 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.